Base | Representation |
---|---|
bin | 1000010110100101… |
… | …1010000001101010 |
3 | 12210021010210102000 |
4 | 2011221122001222 |
5 | 14043002133414 |
6 | 1010254351430 |
7 | 106364406615 |
oct | 20551320152 |
9 | 5707123360 |
10 | 2242224234 |
11 | a5074a288 |
12 | 526abb576 |
13 | 2996c6703 |
14 | 173b0d17c |
15 | d1cacb09 |
hex | 85a5a06a |
2242224234 has 64 divisors (see below), whose sum is σ = 5161390080. Its totient is φ = 720776880.
The previous prime is 2242224221. The next prime is 2242224239. The reversal of 2242224234 is 4324222422.
2242224234 is a `hidden beast` number, since 2 + 2 + 422 + 2 + 4 + 234 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 2242224198 and 2242224207.
It is not an unprimeable number, because it can be changed into a prime (2242224239) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511737 + ... + 516099.
It is an arithmetic number, because the mean of its divisors is an integer number (80646720).
Almost surely, 22242224234 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2242224234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580695040).
2242224234 is an abundant number, since it is smaller than the sum of its proper divisors (2919165846).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2242224234 is a wasteful number, since it uses less digits than its factorization.
2242224234 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4712 (or 4706 counting only the distinct ones).
The product of its digits is 12288, while the sum is 27.
The square root of 2242224234 is about 47352.1301949553. The cubic root of 2242224234 is about 1308.8594532477.
Adding to 2242224234 its reverse (4324222422), we get a palindrome (6566446656).
It can be divided in two parts, 22422 and 24234, that added together give a 6-th power (46656 = 66).
The spelling of 2242224234 in words is "two billion, two hundred forty-two million, two hundred twenty-four thousand, two hundred thirty-four".
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